Using suitable identity, evaluate the following:
(i) 103³

(ii) 101 × 102

(iii) 999²

Question

Using suitable identity, evaluate the following: (i) 103 3 (ii) 101 × 102 (iii) 999 2

Philoid · Accepted Answer

(i) (103)³

Given that: (103)³

= (100 + 3)³

= (100)³ + (3)³ + 3(100)²3 + 3(100)3²

[∵ (a + b)³ = (a³ + b³ + 3a² b + 3ab²)]

= 1000000 + 27 + 90000 + 2700

= 1092727

(ii). Given that: 101 × 102

= (100 + 1) × (100 + 2)

= (100)² + (1 + 2)100 + 1 × 2

[∵ (

Using suitable identity, evaluate the following:(i) 1033(ii) 101 × 102(iii) 9992